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Simplifying 5x + -1(100 + 2x) = 4x + -2(10 + x) 5x + (100 * -1 + 2x * -1) = 4x + -2(10 + x) 5x + (-100 + -2x) = 4x + -2(10 + x) Reorder the terms: -100 + 5x + -2x = 4x + -2(10 + x) Combine like terms: 5x + -2x = 3x -100 + 3x = 4x + -2(10 + x) -100 + 3x = 4x + (10 * -2 + x * -2) -100 + 3x = 4x + (-20 + -2x) Reorder the terms: -100 + 3x = -20 + 4x + -2x Combine like terms: 4x + -2x = 2x -100 + 3x = -20 + 2x Solving -100 + 3x = -20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -100 + 3x + -2x = -20 + 2x + -2x Combine like terms: 3x + -2x = 1x -100 + 1x = -20 + 2x + -2x Combine like terms: 2x + -2x = 0 -100 + 1x = -20 + 0 -100 + 1x = -20 Add '100' to each side of the equation. -100 + 100 + 1x = -20 + 100 Combine like terms: -100 + 100 = 0 0 + 1x = -20 + 100 1x = -20 + 100 Combine like terms: -20 + 100 = 80 1x = 80 Divide each side by '1'. x = 80 Simplifying x = 80
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